A378320 - cp's OEIS frontend

A378320 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(2n-2r+k,r) * binomial(r,n-r)/(2n-2r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	2
14	0
15	1
16	4
17	6
18	6
19	3
20	0
21	1
22	5
23	10
24	13
25	11
26	6
27	0
28	1
29	6
30	15
31	24
32	27
33	22
34	11
35	0
36	1
37	7
38	21
39	40
40	55
41	57
42	44
43	22
44	0
45	1
46	8
47	28
48	62
49	100
50	124
51	121
52	90
53	44
54	0
55	1
56	9
57	36
58	91
59	168
60	241
61	278
62	258
63	187
64	90
65	0
66	1
67	10
68	45
69	128
70	266
71	432
72	570
73	620
74	555
75	392
76	187
77	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 2, 0, 1, 4, 6, 6, 3, 0, 1, 5, 10, 13, 11, 6, 0, 1, 6, 15, 24, 27, 22, 11, 0, 1, 7, 21, 40, 55, 57, 44, 22, 0, 1, 8, 28, 62, 100, 124, 121, 90, 44, 0, 1, 9, 36, 91, 168, 241, 278, 258, 187, 90, 0, 1, 10, 45, 128, 266, 432, 570, 620, 555, 392, 187, 0]

cp's OEIS Frontend

A378320 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(2n-2r+k,r) * binomial(r,n-r)/(2n-2r+k) for k > 0.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	2
14	0
15	1
16	4
17	6
18	6
19	3
20	0
21	1
22	5
23	10
24	13
25	11
26	6
27	0
28	1
29	6
30	15
31	24
32	27
33	22
34	11
35	0
36	1
37	7
38	21
39	40
40	55
41	57
42	44
43	22
44	0
45	1
46	8
47	28
48	62
49	100
50	124
51	121
52	90
53	44
54	0
55	1
56	9
57	36
58	91
59	168
60	241
61	278
62	258
63	187
64	90
65	0
66	1
67	10
68	45
69	128
70	266
71	432
72	570
73	620
74	555
75	392
76	187
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	2
14	0
15	1
16	4
17	6
18	6
19	3
20	0
21	1
22	5
23	10
24	13
25	11
26	6
27	0
28	1
29	6
30	15
31	24
32	27
33	22
34	11
35	0
36	1
37	7
38	21
39	40
40	55
41	57
42	44
43	22
44	0
45	1
46	8
47	28
48	62
49	100
50	124
51	121
52	90
53	44
54	0
55	1
56	9
57	36
58	91
59	168
60	241
61	278
62	258
63	187
64	90
65	0
66	1
67	10
68	45
69	128
70	266
71	432
72	570
73	620
74	555
75	392
76	187
77	0

cp's OEIS Frontend

A378320 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(2*n-2*r+k,r) * binomial(r,n-r)/(2*n-2*r+k) for k > 0.

Table of values

List of values

A378320 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(2n-2r+k,r) * binomial(r,n-r)/(2n-2r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	3
13	2
14	0
15	1
16	4
17	6
18	6
19	3
20	0
21	1
22	5
23	10
24	13
25	11
26	6
27	0
28	1
29	6
30	15
31	24
32	27
33	22
34	11
35	0
36	1
37	7
38	21
39	40
40	55
41	57
42	44
43	22
44	0
45	1
46	8
47	28
48	62
49	100
50	124
51	121
52	90
53	44
54	0
55	1
56	9
57	36
58	91
59	168
60	241
61	278
62	258
63	187
64	90
65	0
66	1
67	10
68	45
69	128
70	266
71	432
72	570
73	620
74	555
75	392
76	187
77	0